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Finding the Fourth Proportional to 459.30, 687.15 and 416.10

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Solution

The fourth proportional to 459.30, 687.15 and 416.10 is: 622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.30 : 687.15 = 416.10 : x
  2. Step 2: Convert to fraction form
    459.30/687.15 = 416.10/x
  3. Step 3: Cross multiply
    459.30x = 687.15 × 416.10
  4. Step 4: Simplify right side
    459.30x = 285,923.12
  5. Step 5: Solve for x
    x = 285,923.12/459.30
  6. Step 6: Final answer
    x = 622.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.